Construct · 1 fields · 1 citations

winding: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed
winding1 CONSTRUCTWinding numberINDEX OF A CURVE

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Mathematics

How many times a curve loops a point

In complex analysis and topology, the winding number, or index, of a closed curve about a point is the net number of times the curve travels counterclockwise around that point, a signed integer. For a contour it is computed by a line integral of the argument, and it underlies the argument principle and the residue theorem, counting enclosed zeros and poles. Ahlfors develops the index of a closed curve in this way. The referent is an integer invariant of a curve, which shares only the word with coils of wire in a machine.[1]

Unit
A signed integer count of loops about a point
Recovery means
Not applicable
Measured by
Computed from a contour integral of the argument of the curve about the point

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Nearby constructs

transformer3 fields · 4 citationsjingle · one word, three constructsargument3 fields · 3 citationsjingle · one word, three constructs

References

  1. Ahlfors, L. V. (1979). Complex analysis (3rd ed.). McGraw-Hill. ISBN 9780070006577

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